{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 11 ``matplotlib`` 基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "x = np.linspace(0, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x9045c88>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8fcbc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x90e2898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x918fba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于color参数：[https://matplotlib.org/2.0.2/api/colors_api.html](https://matplotlib.org/2.0.2/api/colors_api.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa1a2c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于linestyle参数：[https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html](https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa810780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlim(-5, 15)   # x的limit\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bdrzwH1CAJgCvyM7N54HPV5BbuSpBa9Yg99/vdEhFElMrkscuacm8TSl8qMPrPGfqVBgxAj7+2OlIimTi3M2s3XWES4Zdj9SsCTfdBJm+fZO1XIg9gcnOzeehL/QEpqg0AXjBiT+gcQPaUrOmqzri7Nn28t/HDT63IT1b1GTcjxtJSjnqdDj+b+9eGDoUunSxY+x93LLth3hzXiKDOkTTq0ssfPghJCTAyJFOh1aoJlEV+U//lixMTOWzpTsL/wGlCcDT1u1O4635WxjYPpo+rWvbF3NzbdG4m2+267f6MBFh7IC2lAsJYtRXa8jP1zOpEjPGFgrMzLRzRHxlzP9pHM/J46EvVlGncjhjLmtlX7zoIvvZfeMNu7qYj7uhUwPOa1qdZ3/YwK7Dx5wOx+dpAvCg3Lx8Rn5pyys8fmnLv94ICbFnUnv2nLZMhC+pWak8j13aij+3HeTTJdudDsd/ffaZLfH8zDN2MRYfN3HuZramZvDCoHZElj9pvP9zz0GbNvZKwMcFBQnPD2xHvjGM+mq1dgUVQhOAB727YCvrdh/h6StaU6XCKQvFdOwIDz1kx1m7Jtn4sqs7RHNBTA3G/biR5EO+3f/rs7p3t7NrH3jA6UgKtX73ESb9lsSgDtF0bVbj72+Gh8Py5XDPPc4EV0z1q1VgdL8WLNicyhfLkp0Ox6dpAvCQpJSjvDwngb6ta9PvdMvXPfEENGoEd90FWb491PJEVxDA49+u1TOp4jIG6tSBsWN9vusnL98w+uvVVA4P5dH+LQveKNR1RTBzpl0Vz8fd2LkhHRtVZezMDVrm5Aw0AXiAMYYxM9ZRLiSIp65offoNK1SASZNg+PC//qB8WHTVCozoE8uvm1KYtU7HVxfZ/Pm273zXLqcjKZIpi7axKjmNMZe3pmrEGZY4zciA22+HO+6wk9p8WFCQ8MyVbUk/nsu4Hzc4HY7P8kgCEJG+IrJJRBJFZFQB798qIikistL1dacn2vUVM9fsZcHmVB7qE0vNSuXPvHHv3vYKwFsrPnnYLV0a0qJ2JE99t46MrFynw/F92dn2xu+2be4v5F4K9h85zoTZCXRrHsVl7QpZeD0iAl59FZYts0XjfFxs7UjuvKAJ0+KT+XPrQafD8UluH4VEJBh4A+gHtAKuF5FWBWz6uTHmbNfXZHfb9RVHs3J5+vv1tK5bicHnNiz6D06ZYheX9/GulZDgIJ69qg27044z8ZfNTofj+1580Vb5fOMN50s8F8HYHzeSnZvP/11exLr611xjl5F89FFISfF+gG4a1rMZ9aqE89i3a8jO1WKHp/LEaWgnINEYk2SMyQY+A67wwH79wsS5m9l75DhPX9mmeGv6Hj4M//2vXZbPx3VoWI1r4qJ5b8FWEvalOx2O79q50474GTAA+vd3OppC/bn1IN+s2MWQC5vQqEZE0X5IBCZOhKNH4T//8W6AHlAhLIT/u7w1CfuO8tHibU6H43M8kQDqASfPukh2vXaqgSKyWkS+FJHTLoIrIkNEJF5E4lN8/AwjcX867y/cynUd6xe/1s8999iqocOH/2PtAF80ql9LIsqF8H/frdMbwqczbpy9onvpJacjKVRuXj5PTF9LvSrh3NujmCWpW7WCJ5+E887zSmye1qtVLbrHRvHqnM2kHvXtwRelzRMJoKDT3lOPEN8BjYwx7YA5wJTT7cwYM8kYE2eMiYsqjcWx3fD09xsIDwvm4YtLMMY7NNSeSW3darsNfFy1iDCG94rh98QDWnDrdF54Ab7/3o708nGfLtnBxr3pPH5pS8LDSjBK6dFH4bbbPB+Ylzx+aSuO5eTxopY8/xtPJIBk4OQz+mhg98kbGGMOGGNOpN53gQ4eaNdRv27az/yEFO7vGUP1iiUs89yzJwwcaCfa+PjVDsCN5zakWc2KPDtzA1m5vj0KpFTl5dlhvRER9v/Ux6Vl5vDynATOa1qdi0/MVi+JvDx4/XVbPtrHNY2qyK3nNeLz+J26BOpJPJEAlgIxItJYRMKA64C/dWyLyMnDCy4H/HpcVk5ePs98v57GNSK4uUsj93b20kt2tqiPX+0AhAYH8filrdh+IJMPf9/mdDi+4/33oW1bO9PbD0z8ZTNpx3J47BI3V6cTgY8+shPdMjI8F6CXDOsVQ7UKYTw5Q7sxT3A7ARhjcoH7gFnYA/s0Y8w6EXlKRC53bTZMRNaJyCpgGHCru+066dM/trMlJYNH+7d0f33Uhg3t0FCwywX6uG7No7ioRU1e+yVR1w0Au77v449DzZpQ242z6VKyNTWDjxZv49q4+rSqW8m9nQUF2fWDd+3yi/selcqH8vDFscRvP8SPa/c6HY5P8MhgdGPMTGNMc2NMU2PMs67XnjDGzHA9Hm2MaW2MOcsY08MY47dL99jL582c36wGPVt6cJWksWOhXz+fHxYK8OglLTmek8erc32/NozXjR8P+/bZA6AvL/Li8tzMDYQFBzGij4cWeTn/fLuO8PPP+8XEt6vj6hNbK5Lnf9qow0LRmcDF9sa8RI4cz+HRS1p6dnH3qlXh559td5CPaxpVkRs6N2DqnztJ3B/AJaN37bI38K+9Fjp3djqaQi3eYm/g39OjGTUjC5mwWBzPP28r3j72mOf26SXBQcLo/i3YfiCTT/7QQoeaAIph50Hb9z2wfTQt67h5+XyqO++0w+tGjoScHM/u2wuG9YwhPDSY53/y24s5902aZG+Ejh3rdCSFMsYw7scN1KlcnjvOb+zZnTdpYruCbrzRs/v1km7No7ggpoa9F5Lp+39r3qQJoBgmzE5ABEb09sIaqSEhdhjh5s3w7rue37+H1ahYjn93a8Ls9fsCd5r9mDGwaBE09vAB1Qt+WLOHVclpjOjdnPKhXihOd++90KuX5/frBSLC6H4tSTuWw+u/Bvbsdk0ARbR2VxrfrNjF7ec3pm6VcO800r8/dOsGzz7rF1cBd5zfhFqVyvHczA2BN6ri6FF7E7SD749ozs7NZ/ysTbSoHcmA9tHeayg93a53MW+e99rwkFZ1KzGwfTRTFm0P6IVjNAEU0bgfN1K1Qih3d2/qvUZE/lp5yQ+qhYaHBfNg71hW7jzMT4E0qmL+fGjQAP780+lIimTqnzvYfiCTR/q1KF65kuIKDYUvvoCHH/aLEW0jejcHgZdnB+5gBk0ARbBwcyoLE1O5t0czKpX38oG5dWto6arJ7gd/RAM7RBNTsyLjf95Ebp7vx+s2Y+CRR+ykr7ZtnY6mUEezcpk4dzNdmlSne3MvzzUpXx6efhri420i8HF1q4RzS5eGfL08OWBrXGkCKIQxhhdmbaRelfDiVft0R34+XHedrRPk44KDhIcujiUpJYOvlgfA6kvffANLlthaOOFe6gr0oMkLkjiQkc2ofi08O2rtdAYPtstHPvaYX3Rj3tO9GRFhIbzwU2CWiNAEUIif1u5ldXIaD/SK8c7Ns4IEBUHlyvDWW7ZWkI/r06oWZ9evwsuzN3M8pwyXiMjNtTVwWrSAW25xOppCHczIZvKCrfRtXZuz6lcpnUaDg+09rMRE+OCD0mnTDVUjwrirWxPmbNhH/LbAG8ygCeAMcvPyGf/zJprVrOjdm2cFeeIJmwj+7/9Kt90SEBEe6duCvUeOl+2Su3Pm2Fr/zz1nR235uDd/TSQzO5eHLvbCqLUzuewyWyr6ggtKt90Suv38xkRFluP5nzYG3GAGTQBn8PXyXSSlZPBQn1jv3jwrSL16cN998PHHsH596bZdAl2aVufC5lG8OW8LR477/qV/ifTta/u3r7zS6UgKtfvwMT76YzsD2kfTrGZk6TYuYq8CWp5mfWEfUyEshKEXNWPptkPMT/D9ooyepAngNLJy83hlTgJnRVfm4ta1nAli1Ch7s/HZZ51pv5hGXhzL4cwcJi/w/W6rYjvmGirYoYNflHyYOHczGHigV4xzQWzZArfeCkeOOBdDEV3XsQHRVcN58edNAXUVoAngNP67ZAe7047z0MWxpXPzrCA1athSu6++6kz7xdSmXmX6tanNewuSOJiR7XQ4npORAc2bw2uvOR1JkWxNzeCLZcnc0LkB0VUdXJYyLc0ufeoHheLCQoJ4oFdz1u46ElBDmjUBFCAzO5c3fk2kc+NqnN+shrPB9OljE4GfnJWM6N2czJw83p6/xelQPGfiREhO9otJXwCvzEkgLDio+Ct9eVr79na9i5dfhgMHnI2lCK46px7NalbkpdkJ5OX7x9+buzQBFODDRdtIPZrNw06e/Z8sKQk6dYLffnM6kkLF1IrkqnPqMWXRNvYd8f2lLgt1+LAt0XHppX6xBOKmvenMWLWbW7s2IiqyhAsVedJTT9lZ0y+84HQkhQoOEkb0bk7i/qN8u8L3K5t6giaAU6Qdy+Gd+Ul0j40irlE1p8Oxate2lScfe8wvrgQe6NmcvHzDa7+UgTorEybYJPD0005HUiQTZm+iYlgId13YxOlQrFatbJG4117ziwVz+rauTZt6lXhlbgI5ATCxURPAKd5buJW0Yzk81KcE6/x6S4UKdvz5ggV2KKKPa1C9Atd2rM/nS3ey82Cm0+GU3LFjtjTH1VfD2Wc7HU2hVicfZta6fdx5QROqVAhzOpy/jBkDd98N5XzgiqQQQUHCg71j2XnwGF/El/2JjZoATnIoI5v3F26lX5vatKlX2elw/u7OO239GT+5CrjvomaIiH9fBYSH22GfftB9AfDSzwlUrRDK7ec3cjqUv2vWzN4IruYjV9SF6B4bxTkNqvDaL2V8YiOaAP7mnd+SyMjOZbg3yj27q1w5eyb1558wc6bT0RSqTuVwBnduyFfLd7E11ffXi/2H3Fz7vXFjaNTI0VCKIn7bQeYnpHBXt6ZEerteVUnNnWsX0PFxIsJDfWLZk3acz/7c4XQ4XuWRBCAifUVkk4gkisioAt4vJyKfu95fIiKNPNGuJ6WkZzFl0TYuP6suzWuV8sSZorr5ZnjvPb+pu35396aEBQfx6hw/rLY4YgRcfrlfFOQDe/Zfo2I5bunSyOlQTm/6dDu3ZYvvjxA7r2l1zm1Sjdd/3cKx7LJ7FeB2AhCRYOANoB/QCrheRFqdstkdwCFjTDPgZeB5d9v1tLfmbSE7L5/7ezo4caYwISFw++1+0ZcKEBVZjlvOa8T0VbvZ7E/VFnfsgHfegVq1bDkOH7coMZXFSQe4t0dTwsNKqV5VSYweDWFhdmSQjztxFZB6NIspi7c5HY7XeOLT3QlINMYkGWOygc+AK07Z5gpgiuvxl0BP8YnxldaetGN8smQ7A86pR5Ooik6HU7ivv7ZlCfJ8/8zkrgubEBEWwgR/qrn+zDP2++OPOxtHERhjeGl2AnUql+f6Tg2cDufM6tSxK4d98gls2OB0NIWKa1SNC5tH8c78LRzNynU6HK/wRAKoB+w86Xmy67UCtzHG5AJpQPWCdiYiQ0QkXkTiU1JKpy7HttRMoiqWY5gvn/2fLC8PZs2CqVOdjqRQVSPCuP38xvy4di/rdqc5HU7htmyxVSz/9S97093HzUtIYdn2Q9x3UbPSq1brjpEj7c31J590OpIiebB3cw5l5vDBwjJY3gTPJICCzuRPHaZSlG3si8ZMMsbEGWPioqK8vICFS5em1fltZA/qV3Nw2nxxDBwIZ51lK4X6Qc31O85vTOXwUP9YeWn8eNvV9p//OB1JoYwxTPg5geiq4Vzdob7T4RRNVJTtAjr/fL8YzXZW/Sr0blWLSQuSyuQC8p5IAMnAyZ++aGD36bYRkRCgMuBTxbdLvdqnO4KC7B9RYiJ89JHT0RSqcngoQy5swpwN+1mx45DT4ZzZuHHw7bdQt67TkRTq5/X7WLMrjft7xhAW4vv3Kv5nxAgYOtQviuqBLW+SfjyXyQuTnA7F4zzxqVkKxIhIYxEJA64DZpyyzQzgxAoag4BfTCCV3POGyy6Djh1tIsjKcjqaQt16XiOqRYT59r0AY6BKFbj4YqcjKVR+vj37b1IjgqvOObXH1Q/k5NgRbcuXOx1JoVrWqcQl7erw/sKtZavIIR5IAK4+/fuAWcAGYJoxZp2IPCUil7s2ew+oLiKJwAjgH0NFVTGJ2CJbr71mR1b4uIhyIdzTvSkLNqfyR5IPFgZbvdrO9l271ululdEtAAAZrklEQVRIiuT7NXvYtC+dB3o3JyTYj87+Tzh+3K6t7AddbQDDe8VwrKwVOcRD8wCMMTONMc2NMU2NMc+6XnvCGDPD9fi4MeZqY0wzY0wnY0zZu5ZyQteudqy6n1xKDz63ITUjyzHh5wTfq7k+Zgxs324X4vFxuXn5vDI7gdhakVzato7T4ZRMZKRNALNmwcKFTkdTqGY1I7nSVeRwf1kocujih6cO6m/y8uxwxTffdDqSQpUPDWboRc34c9tBftuc6nQ4f1m61Pb7P/ggVK3qdDSF+mbFLpJSMxjeuzlB/nTv6lT33mvnWvhJeZMTRQ5f/zXR6VA8RhOAvwsOtuUhxoyBdN+fbHVtxwbUqxLOS7608tLjj0P16nD//U5HUii7Ut1m2tZzcKU6TzlR5HD+fL8pcnhNx/pM/XMHyYf8uMjhSTQBlAVPPw2pqfDKK05HUqiwkCDu7xXD6uQ0Zq3b53Q4sHix7YYYNQoqVXI6mkJ9vnQnuw4fc3alOk8aMgT694dQH61fdIqhriKHE+f6cZHDk2gCKAs6dbILlb/4Ihz0qdG1BbIzriOYMHuT8ysvdexoJ37dc4+zcRTBsew8XvslkU6NqnFhjMMr1XlKuXLwww/QvbvTkRRJncrh3Ni5AV8t38WWlKNOh+M2TQBlxdNP2y4gPyhdHBIcxPBezUnYd5QZqxxeeSkkxC5cXsH3JwFOWbyNlPSssnP2f7K0NHsF6wflTe7t0YxyIUG+PaS5iDQBlBVt2tia69de63QkRXJJ2zq0qlOJCbMTyM51oOJmfj706wefflr6bZfAkeM5vD1/C92aR9GpsX/U1S+WWbNg+HC/KG9So2I57ji/MT+s3sPaXX5Q3uQMNAGUJcOHwznnOB1FkQQFCQ/3tSsvfb7UgZrrX3wBP/3kF6NPAN79LYnDmT62Up0nDRpky5uMGQPZvj/Z6l8XNqFKhVDGz9rkdChu0QRQ1uzeDbfc4hc117s3j6JTo2pM/CWRzOxSrLaYk2NH/rRpA9dfX3rtllBKehaTF2zlknZ1aBvtYyvVeUpQEIwdC0lJ8O67TkdTqErlQ7m7W1PmJ6SwxBcnNhaRJoCy6Isv/KKUsYgwsm8sKelZfLhoW+k1/OGHsHmzLfsc7PsVNF/7ZTM5efll9+z/hL594cIL7f2so75/g/XmLo2oGVmOF2b50JDmYtIEUNbUrftXX+qKFU5HU6i4RtXo2aImb8/bwuHMUrj0P37cdjOcd56dRe3jdhzI5L9LdnBtx/o0rhHhdDjeJQLPP2+7MQ8fdjqaQoWHBfNAr+Ys236In9f7wJDmEtAEUBaNHGkX4B7lHyWXHu4bS3pWLm/OK4Vuq/LlYcoUePVVvyihMWH2JkKCxX/WqnDXuefCjz9CdLTTkRTJNXHRNImK4IWfNpKb5x/Lh55ME0BZVLmynWH58892IW4f16J2JQa1j+bD37ex82ApzLDs3Rvi4rzfjpvW7kpj+qrd3N61MbUqlXc6nNK1bZtfjNAKCQ5i5MUt2JKSwRfLkp0Op9g0AZRV99xji221OnV5Zt80ok9zRPDu2OrRo+2/iR/01xpjeG7mBqpWCOPf3Zs6HU7pGzcObrvNLwYzXNy6Fh0aVuXl2Ql+t4C8JoCyqnx5+0dUxz+qRdapHM7t5zfm25W7vDO2OikJJkyAAwf8outn3qYUFm05wLCLmlGpvH+USfCoMWNseYjRo52OpFAiwqh+LdifnsV7frZojCaAsm7FCrj6ajh2zOlICnV396ZUCQ9l3I8bPT+qYtQoO+v3qac8u18vyM3LZ+yPG2hUvQI3dG7odDjOqFMHHn7YjmhbvNjpaArVsVE1+rSqxVvztpCS7vsLNJ2gCaCsO3IEvvzSLwrFVSofytCLYliYmMqvm/Z7bse//24PJI884hdLPX65LJmEfUd5pG8L/1rq0dMeeghq17bf/aDbbnT/lmTl5vtViYgA/nQFiG7d4Ior7CSb/R48qHrJTV0a0iQqgme+30COp0ZVjBxpD/wPPuiZ/XnR0axcXpqdQIeGVenbprbT4TirYkV49llo184vlj1tXCOCm7s04vOlO9i494jT4RSJJoBA8PzztgvoiSecjqRQocFBPNq/JUmpGXy8eLtndjp5Mnz0EUT4/jj6139JJCU9iycubVX2Cr6VxO23w1tv2XtafmBYz2ZElg/lme83+MXkMLcSgIhUE5HZIrLZ9b3A5ZREJE9EVrq+Tl0wXnlbbKxdfWnSJFi50uloCnVRi5pcEFODV+du5pA7i3Dnu64gWraEnj09E5wXbUvN4P2FWxnYPpqz6ldxOhzfsnixTeI+rkqFMO7v6YVuTC9x9wpgFDDXGBMDzOX0i70fM8ac7fry/emXZdGTT9orgRYtnI6kUCLCY5e0Iv14Dq/McaM/dcwYewM8txTrDLnh2ZkbCA0WHulbxks+lMRLL8Hdd8Muh8uHF8GJbsynvltPVq5vDwt1NwFcAUxxPZ4CXOnm/pS3VKliR1X4yaV0bO1IbuzckI//2M763SXoT92yBcaPtwuOhIR4PkAPW7g5ldnr93FPj2bUDLRJX0UxfrxdK8APZreHBgfx5GWt2XYgk8kLtjodzhm5mwBqGWP2ALi+1zzNduVFJF5E/hCRMyYJERni2jY+JSXFzfDUP8yZA127+kWxrYf6xFKlQhhPTF9LfnFXDhs+3I4j94MFcrJz8xkzYy31q4Vzx/mNnQ7HNzVubEcDffIJLFzodDSFurB5FH1b1+b1XxLZfdh3h2AXmgBEZI6IrC3g64pitNPAGBMH3AC8IiKnndpojJlkjIkzxsRFRUUVowlVJBUqwKJFtuKij6tcIZRRfVsQv/0QX68oxqX/zJnw3Xf2prcfDPt8d0ESW1IyeOryNpQP9f3qpI4ZPRoaNLBdQTk5TkdTqMcubUm+MTz7wwanQzmtQhOAMaaXMaZNAV/TgX0iUgfA9b3Aux7GmN2u70nAPMA/Vi0pi847z46smDAB1qxxOppCDeoQzTkNqjDuxw2kHSvCH70xdrJXbCzcf7/3A3TTzoOZvPbLZi5uXYseLU53Aa0AO4rrzTdh8GCnIymS6KoVuKd7M35Ys4dFW1KdDqdA7nYBzQBucT2+BZh+6gYiUlVEyrke1wC6AuvdbFe544UX7D2Bu+76a6SMjwoKEp6+og0HM7IZP2tj4T8gAt9/D9OmQViY9wN0gzGGJ2esI0iEMZe1djoc/3DJJXZCX6h/lMe4q1sTRvVrwTn1Cxwg6Th3E8A4oLeIbAZ6u54jInEiMtm1TUsgXkRWAb8C44wxmgCcVL06vPiiHVo3w/dH5bapV5lbz2vMJ3/sYOm2g6ffcP9+e6OwRg07ecjHzVq3j7kb9/NArxjqVgl3Ohz/8vXX9gTGx8falw8N5t/dmhIe5ptde+LLkxXi4uJMfHy802GUTcbYuuv9+vlFcbSMrFz6vPwb5UKDmDnsgn/2lefl2ZvbNWrYKwAfl5aZQ6+X51M9Iozvhp5PaLDOySyW8ePtDO/PP4drrnE6Gp8iIstc91wLpZ+6QCUC/fvb73v3+vyZVES5EMYOaEtSSgZv/Jr4zw3eeAOWLIEbbij94Ergqe/XczAjmxevPksP/iUxfDh07GgnOOpowRLTT16gW7UKYmL8YvGNC5tHMaB9Pd6at4V1u08qGZ2QYMeH9+vnF4u8/7ppP18tT+bubk1pU6+MLvLubSEh8P77kJYGQ4c6HY3f0gQQ6Nq0sf3lQ4fC7t1OR1Ooxy9pRdWIMIZ/vpLjOXl2lu/NN9sJbpMn+3x31pHjOfzn6zXE1KzI0J7NnA7Hv7VpY2d7f/65X8wN8EWaAAJdcDB88IGttvivf/l8V1DViDBeGNSOhH1HGT9rE+zZA4cO2S4gHx/zb4zhsW/Wsj89ixcGtaNciG/eGPQrI0fC9On2/o8qNk0ACpo3t6uHzZwJr7/udDSF6hFbk5u7NOS9hVv5PSscVq+G665zOqxCfb18FzNW7eb+njGc08A3hwX6ndBQuPxye+WXlOTzw5p9jSYAZQ0dCpdeav+I/MDorvV4Nn4q//n0Tw7mis93/WxLzeCJ6Wvp1Lga9/bQrh+PS0iwXUIvvuh0JH5FE4CyROzY6pdfdjqSwhlD+D13ccO8z4jauon7P1tBXnFrBZWirNw87v9sBcFBwivXnk1wkG8nK78UE2MniT36KPz5p9PR+A1NAOovJ2ZXLltmZ1v66v2AN9+EL75Ann2WAXcPZMHmVF6du9npqE7ryRnrWZWcxguD2umEL28Rsetd1K0Lgwb5xep3vkATgPqnn3+25SJ8sZLmokUwYoSdw/Dww1zfqT6DOkQzce5mft3oe3/0ny7ZztQ/d3B396b0bVPH6XDKtqpV7VVsSopdB8IPCsY5TROA+qdRo+xN1dGjfatURF4e3HabrQj50UcQFISI8MyVbWhZpxL3f7aCzfvSnY7yf+K3HeTJGevoHhvFQ310kZdS0aEDvPcenHWW05H4BS0FoQp27BhceCFs3GjPutu2dToia+NGCAqyI5dOsvNgJgPeWkRYcBBf33MetRxeVGVragZXv72IyPKhfHtvVyqH+0fxsjInM9OWQA8gWgpCuS883I6vrlQJXnnF2ViOH7czlY2xS1qecvAHqF+tAh/c2pFDmdnc9sFSjmY5twzk3rTjDJ68hHwDk2+J04O/U5KS7HrQfjDL3SmaANTp1a0LCxbAW285F0NWFgwcaGvAL158xk3b1KvMmze2Z9O+dIZ8FE9mdukngcOZ2dz8/hIOZ2Yz5bZONI2qWOoxKJe6daFJE7jlFr8oEOgETQDqzJo0sXX1U1Ph2mvtzNvSkpVlR3TMnAnvvGMXsylE99iavHh1O/5IOsCtpXwlcOBoFje99yfbUjN595Y42kZrnR9HlS9vr2LPPtveFP7xx9Jtf+3a0m2vBDQBqKLZuhV++MEehDcWYWEWd6Wnw4AB9szt7bdhyJAi/+hV50TzynXnsGz7IW56b0nRVhJzU/KhTK5+ezEJ+9J5+6b2nNe0htfbVEVQqZI98LdsaWcMz55dOu2OH29rbM2ZUzrtlZAmAFU0HTvCvHn2ptp558Fvv3m3vfh4+8fzzjt24Y9iuvysurxxQ3vW7kpjwJu/syXlqBeCtDbsOcKgtxaTejSLT+7szEUtanmtLVUCUVH2s3vvvdCli3fbysqyn9eRI+0Vc/fu3m3PTZoAVNHFxcEff0CtWtC7t3f6Vbdutd979IAtW4p15n+qvm1qM+X2ThzKzOGK13/n53V7PRSkZYzhv0t2cOUbv5NvDNP+3YWOjap5tA3lIScGM1SsaK8uH3gADh/2bBt79tjP7aRJdij1J5/YstU+TBOAKp7GjeH3322faseOnttvRoZdxD0m5q/SvtHRbu/2vKY1+G7o+TSJimDIx8t47Ns1pGW63yV0KCOb+6au4D/frKFT42r8MOwCWtSu5PZ+VSlYsMBWjz37bM+WkZ4/366vMW0ajB1rK+36OLcSgIhcLSLrRCRfRE477lRE+orIJhFJFJFR7rSpfEC1avbsplYtOznr8svhmWfgyJHi7ysvz/7BtG0LEyfC3XfbP0wPqlclnGl3deG2ro3475Id9Jwwj6+WJZeoftDxnDzemb+FC8f/yk9r9zKybyxTbutEVGQ5j8asvKh/f3vgDwqCCy6wXTVbtpRsX2vXwldf2cfXXgtr1tiTIz/h1kQwEWkJ5APvAA8ZY/4xa0tEgoEE7KLxycBS4PqiLAyvE8H8QGoq3H47fPedTQzDhtk1Wlu0KLxCpzG2jvvixXb7SZPsH6QXrd2VxmPfrmXlzsPUqxLO4HMbcm3H+lSLCDvjz21LzeDblbuYtnQnu9OO0yM2itH9W9K8VqRX41VelJ5uq4e++CL06mVHDIE9KTnT2Xturr2xPHGivU8VHW0TSNiZP0OlpTgTwTwyE1hE5nH6BNAFeNIYc7Hr+WgAY8zYwvarCcCPLF0KTz5ph2yCHTHUvz+sWwfLl9s67ampdtWx5cvtaIyQEPjwQ4iMhCuvLLVL5vx8w6x1e/lo8XYWJx0gSCC2diU6NKxCTM1IyocGERYSREp6Fgn7jrJhzxHW7T6CCHRpUp17ezSjazMd5VNm7N1rZ743bgwbNth+/K5d7cihZq7S3X37Qu3a9vN63322y7JePbjnHnufqobvfB6KkwBK4w5FPWDnSc+Tgc6n21hEhgBDABo0aODdyJTndOxoD/q7dtkzqW7d7OvffWdrCp0QGgqdO9uCXXXqwK23lnqoQUFCv7Z16Ne2Dgn70vlh9R6W7zjEtyt2/2PeQFRkOWJqVuSRvi244uy6Ws2zLKpd+6/HeXn2s7typf0c5+XZ1+fOtdu1aGE/sz172vUzQv17lnehVwAiMgeoXcBbjxpjpru2mcfprwCuBi42xtzpen4T0MkYU+hKznoFUAYcOwY7dtiz/Ro17GgMH128JS/fcCgzm+zcfLJy86laIZQqFXzjsl45IDv7r89u7dp2Ypkf8OgVgDGml5vxJAP1T3oeDfj+6uPKM8LDIdY/KmEGBwk1KurNXOUSFvZXF1AZVRrDQJcCMSLSWETCgOsAH6oxrJRSgcndYaBXiUgy0AX4QURmuV6vKyIzAYwxucB9wCxgAzDNGLPOvbCVUkq5y62bwMaYb4BvCnh9N9D/pOczgZnutKWUUsqzdCawUkoFKE0ASikVoDQBKKVUgNIEoJRSAUoTgFJKBShNAEopFaA0ASilVIDSBKCUUgFKE4BSSgUoTQBKKRWgNAEopVSA0gSglFIBShOAUkoFKE0ASikVoDQBKKVUgNIEoJRSAUoTgFJKBShNAEopFaDcXRP4ahFZJyL5IhJ3hu22icgaEVkpIvHutKmUUsoz3FoTGFgLDADeKcK2PYwxqW62p5RSykPcXRR+A4CIeCYapZRSpaa07gEY4GcRWSYiQ0qpTaWUUmdQ6BWAiMwBahfw1qPGmOlFbKerMWa3iNQEZovIRmPMb6dpbwgwBKBBgwZF3L1SSqniKjQBGGN6uduIMWa36/t+EfkG6AQUmACMMZOASQBxcXHG3baVUkoVzOtdQCISISKRJx4DfbA3j5VSSjnI3WGgV4lIMtAF+EFEZrlerysiM12b1QIWisgq4E/gB2PMT+60q5RSyn3ujgL6BvimgNd3A/1dj5OAs9xpRymllOfpTGCllApQmgCUUipAaQJQSqkApQlAKaUClCYApZQKUJoAlFIqQGkCUEqpAKUJQCmlApQmAKWUClCaAJRSKkBpAlBKqQClCUAppQKUJgCllApQmgCUUipAaQJQSqkApQlAKaUClCYApZQKUJoAlFIqQGkCUEqpAOXuovDjRWSjiKwWkW9EpMpptusrIptEJFFERrnTplJKKc9w9wpgNtDGGNMOSABGn7qBiAQDbwD9gFbA9SLSys12lVJKucmtBGCM+dkYk+t6+gcQXcBmnYBEY0ySMSYb+Ay4wp12lVJKuS/Eg/u6Hfi8gNfrATtPep4MdD7dTkRkCDDE9fSoiGzyWIRnVgNILaW2nKC/n3/T389/lfbv1rCoGxaaAERkDlC7gLceNcZMd23zKJALfFrQLgp4zZyuPWPMJGBSYXF5mojEG2PiSrvd0qK/n3/T389/+fLvVmgCMMb0OtP7InILcCnQ0xhT0IE9Gah/0vNoYHdxglRKKeV57o4C6gs8AlxujMk8zWZLgRgRaSwiYcB1wAx32lVKKeU+d0cBvQ5EArNFZKWIvA0gInVFZCaA6ybxfcAsYAMwzRizzs12vaHUu51Kmf5+/k1/P//ls7+bFNxro5RSqqzTmcBKKRWgNAEopVSA0gRA2S5VISL1ReRXEdkgIutE5H6nY/I0EQkWkRUi8r3TsXiaiFQRkS9dJVc2iEgXp2PyJBEZ7vpcrhWRqSJS3umY3CEi74vIfhFZe9Jr1URktohsdn2v6mSMJwv4BBAApSpygQeNMS2Bc4F7y9jvB3A/doBBWfQq8JMxpgVwFmXo9xSResAwIM4Y0wYIxo4S9GcfAn1PeW0UMNcYEwPMdT33CQGfACjjpSqMMXuMMctdj9OxB5B6zkblOSISDVwCTHY6Fk8TkUrAhcB7AMaYbGPMYWej8rgQIFxEQoAK+PkcIWPMb8DBU16+ApjiejwFuLJUgzoDTQAFl6ooMwfIk4lII+AcYImzkXjUK8BIIN/pQLygCZACfODq4posIhFOB+UpxphdwIvADmAPkGaM+dnZqLyiljFmD9gTMqCmw/H8jyaAYpaq8FciUhH4CnjAGHPE6Xg8QUQuBfYbY5Y5HYuXhADtgbeMMecAGfhQ94G7XH3hVwCNgbpAhIgMdjaqwKIJIABKVYhIKPbg/6kx5mun4/GgrsDlIrIN23V3kYh84mxIHpUMJBtjTlyxfYlNCGVFL2CrMSbFGJMDfA2c53BM3rBPROoAuL7vdzie/9EEUMZLVYiIYPuQNxhjJjgdjycZY0YbY6KNMY2w/2+/GGPKzBmkMWYvsFNEYl0v9QTWOxiSp+0AzhWRCq7PaU/K0E3uk8wAbnE9vgWY7mAsf+PJctB+yRiTKyInSlUEA+/7aKmKkuoK3ASsEZGVrtf+Y4yZ6WBMquiGAp+6Tk6SgNscjsdjjDFLRORLYDl2tNoKfLhsQlGIyFSgO1BDRJKBMcA4YJqI3IFNelc7F+HfaSkIpZQKUNoFpJRSAUoTgFJKBShNAEopFaA0ASilVIDSBKCUUgFKE4BSSgUoTQBKKRWg/h/eDDhLh/w0NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x917a7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.axis([-1, 11, -2, 2])   #前2个数代表x轴的范围， 后2个数代表y轴的范围\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xac89f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa8dd278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")  # 代表图示(当前图线的的含义)， 需要配合legend函数才会生效\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()    #和lable配合使用， 会在图中的适当位置加上图示\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9162ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb42bb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对于折线图（上面的那些图， 一般横轴是特征值， 纵轴是y值）\n",
    "# 对于散点图来说的话， 通常横轴和纵轴和特征值。把点打到图上。  \n",
    "# 对于2维特征来说， 一般使用散点图来描述\n",
    "plt.scatter(x, siny)  # 绘制散点图\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb42bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb20cc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 标准的二维正态分布\n",
    "x = np.random.normal(0, 1, 10000)   #均值为0，方差为1\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "\n",
    "plt.scatter(x, y, alpha=0.1)  # alpha代表透明度，  0代表完全透明， 1代表完全不透明\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
